Warren rolled out her proposal for Medicare for All last week, instantly fanning the flames of a raging debate among the Democratic presidential contenders over the idea.

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But even if Warren wins the presidency and Democrats take back the Senate next year, her proposal would still face long odds of actually being enacted given objections among many senators of her own party.

Some Democratic senators on Tuesday said flatly that they would not vote for Warren’s plan if she were president in 2021.

“No, I wouldn’t; I’ve said consistently that I am not for Medicare for All,” said Sen. Doug Jones (D-Ala.), who faces a tough reelection race next year. A victory by Jones would greatly help Democrats reach a Senate majority.

Democrats must win a net gain of three seats and take the White House to gain the Senate majority in 2021, a high bar. If they do, they are expected to have a narrow majority, where only a few Senate Democrats would be enough to kill ambitious liberal proposals even if the party abolished the filibuster to allow measures to pass without Republican support.

And it is not just a handful of moderates who have concerns with Medicare for All, but many mainstream Senate Democrats.

“I don’t know that we’ll have a chance to do that; I think we’ll take up our own proposals,” he said. “I’m for universal coverage, I’m for building on the Affordable Care Act. My preference is to move forward on a public option.”

If Democrats controlled the Senate, he added, “I think we would look to build on the Affordable Care Act,” rather than pass Medicare for All.

Warren, a top-tier candidate now seen as a favorite to win the Iowa caucuses, sought to address concerns about Medicare for All on Friday by emphasizing that her $20.5 trillion plan would not include any middle-class tax increases. She said it would instead be funded by redirecting what employers already pay for health insurance and new taxes on the wealthy.

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Warren and Sanders also emphasize that Medicare for All would expand coverage to everyone and would eliminate premiums and deductibles, providing much more generous coverage to the millions of people who struggle with high out-of-pocket costs under the current system.

Asked by a reporter in Iowa on Monday how she would get Medicare for All through the Senate, Warren said the election results would send a message.

“When I win, I will turn around to all of my Democratic colleagues and say this is what I ran on,” Warren said, according to a transcript provided by her campaign. “It’s there. And that’s what the majority of the people in the United States said they wanted.”

She acknowledged that “there have to be compromises” in Congress. “But we’ve gotta come together after this primary, we’ve gotta come together for the 2020 election,” she added. “And then, we have to deliver what we run on.”

Some Democrats fear that Medicare for All is a liability in the general election. An optional government-run plan polled better than full-scale Medicare for All in a September Kaiser Family Foundation survey, which found 69 percent support for an optional plan and 52 percent support for the full-scale government plan.